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3 years ago

What is the value for s?

Mathematics

2 answers:

Paladinen [302]3 years ago

7 0

The correct answer is 35 degrees

expeople1 [14]3 years ago

3 0

Answer:

s = 35 degrees

Step-by-step explanation:

A triangle has to have a total of 180 degrees.

Step 1: add known angles

114+ 31 = 145

Step 2: subtract sum from 180

180 - 145 = 35

s = 35 degrees

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ICE Princess25 [194]

Answer:

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Part b) The perimeter of the figure is $3(2+2\sqrt{2}+ \pi)\ cm$

Step-by-step explanation:

Step 1

Find the area of the figure

In this problem we have that

The figure ABC is the half of a square and the other figure is a semicircle

Find the area of the figure ABC

we have

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The area of the half square ABC is equal to find the area of triangle ABC

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we have that

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substitute

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The area of the figure is equal to

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Step 2

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The perimeter of the figure is equal to

$P=AB+AC+length\ CB$

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Applying Pythagoras theorem

$AC=\sqrt{6^{2}+6^{2}}\\AC=6\sqrt{2}\ cm$

Remember that

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$C=\pi(3)$

$C=3 \pi\ cm$

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$P=6\ cm+6\sqrt{2}\ cm+3 \pi\ cm$

Simplify

$P=3(2+2\sqrt{2}+ \pi)\ cm$

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